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Finding the Third Proportional to 377,028 and 527,400

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Solution

The third proportional to 377,028 and 527,400 is: 737,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,028 : 527,400 = 527,400 : x
  2. Step 2: Convert to fraction form
    377,028/527,400 = 527,400/x
  3. Step 3: Cross multiply
    377,028x = 527,400 × 527,400
  4. Step 4: Simplify right side
    377,028x = 278,150,760,000
  5. Step 5: Solve for x
    x = 278,150,760,000/377,028
  6. Step 6: Final answer
    x = 737,745.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.